• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
搜索

Author:

Zhang Zhenning (Zhang Zhenning.) | Zhao Xu (Zhao Xu.) | Zhou Juntong (Zhou Juntong.)

Indexed by:

CPCI-S

Abstract:

An information geometric algorithm is proposed to control the shape of the conditional output probability density function for stochastic distribution control systems. The considered system is of multi-input and multi-output with stochastic noises and a output feedback vector. Based on the assumption that the probability density function of the stochastic noise is known, we obtain the conditional output probability density function using the probability theories, whose shape can be considered to be determined by the control input vector and the output feedback vector. The set of the conditional output probability density function forms a manifold(M), and the control input and the output feedback can be considered as the coordinate system from the viewpoint of information geometry. The Kullback-Leibler divergence acts as the distance between the conditional output probability density function and the target probability density function, and can be considered as an error function. For the output feedback vector is known, our propose is to design the control input vector to make the conditional output probability density function as close as possible to the given one. Thus, an iterative formula for the control input vector is proposed in the sense of information geometry. Finally, an illustrative example is utilized to demonstrate the effectiveness of the algorithm.

Keyword:

Information Geometry Differentiable Manifold Kullback-Leibler Divergence Stochastic Distribution Control

Author Community:

  • [ 1 ] [Zhang Zhenning]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Zhao Xu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Zhou Juntong]Beijing Univ Technol, Coll Elect Informat & Control Engn, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Zhang Zhenning]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Show more details

Related Keywords:

Source :

2014 33RD CHINESE CONTROL CONFERENCE (CCC)

ISSN: 2161-2927

Year: 2014

Page: 5340-5344

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

Online/Total:645/10700421
Address:BJUT Library(100 Pingleyuan,Chaoyang District,Beijing 100124, China Post Code:100124) Contact Us:010-67392185
Copyright:BJUT Library Technical Support:Beijing Aegean Software Co., Ltd.